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Finding the Third Proportional to 43,861 and 106,057

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Solution

The third proportional to 43,861 and 106,057 is: 256,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,861 : 106,057 = 106,057 : x
  2. Step 2: Convert to fraction form
    43,861/106,057 = 106,057/x
  3. Step 3: Cross multiply
    43,861x = 106,057 × 106,057
  4. Step 4: Simplify right side
    43,861x = 11,248,087,249
  5. Step 5: Solve for x
    x = 11,248,087,249/43,861
  6. Step 6: Final answer
    x = 256,448.49

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.